# Math

posted by
**Anonymous**
.

A factory has 3 machines that produce the same item. Machines 1 and 2 each produce 30% of the total output, while machines 3 produce 40%. It is known that 6% of Machine 1's output is defective, while machine 2 produces 5% defective items and machine 3 produces 4% defective items. If a randomly selected item is defective what is the probability it would be produced by machine 1?